Question

Perform each unit conversion.

Part A. Convert 78.1 nm to μm (3 sigfigs).
Part B. Convert 3549 cm ³ to L (4 sigfigs).
Part C. Convert 4956 Tm to Gm (4 sigfigs).

Answer 1

To convert 78.1 nm to μm, multiply by 10^-3 to get 0.0781 μm. To convert 3549 cm³ to L, multiply by 10^-3 to obtain 3.549 L. Converting 4956 Tm to Gm requires multiplying by 10^3, resulting in 4956 Gm.

Step-by-step explanation:

To perform the unit conversions requested, we need to use the appropriate conversion factors and remember that the conversions must maintain the same number of significant figures (sigfigs).

Part A

To convert 78.1 nm to micrometers (μm), use the conversion factor 1 nm = 10-3 μm. So, 78.1 nm × 10-3 μm/nm = 0.0781 μm, which we will round to 0.0781 μm to maintain three significant figures.

Part B

To convert 3549 cm³ to liters (L), use the conversion factor 1 cm³ = 10-3 L. Hence, 3549 cm³ × 10-3 L/cm³ = 3.549 L. Rounded to four significant figures, we get 3.549 L.

Part C

Converting 4956 Tm to gigameters (Gm) requires the conversion factor 1 Tm = 103 Gm. Therefore, 4956 Tm × 103 Gm/Tm = 4956000 Gm, which we round to 4956 Gm to keep four significant figures.